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to prove (r=1 to r=7)∑tan2 rπ/16=35
Start by combining pi/8 and 7pi/8, 3pi/16 and 5pi/16; 3pi/16 and 5pi/16 terms to get Tan2A form. You can do so either in tan-cot or Sin Cos conversion also.Once, through with this step, do this again by combining complimentary terms to get 2A form of the trig. ratios. which will eventually lead to a number.
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